100582962278401 has 4 divisors (see below), whose sum is σ = 100638810676804. Its totient is φ = 100527113880000.

The previous prime is 100582962278399. The next prime is 100582962278413. The reversal of 100582962278401 is 104872269285001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 28976689000000 + 71606273278401 = 5383000^2 + 8462049^2 .

It is a cyclic number.

It is not a de Polignac number, because 100582962278401 - 2¹ = 100582962278399 is a prime.

It is a super-2 number, since 2×100582962278401² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100582962273401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27924196500 + ... + 27924200101.

It is an arithmetic number, because the mean of its divisors is an integer number (25159702669201).

Almost surely, 2^{100582962278401} is an apocalyptic number.

It is an amenable number.

100582962278401 is a deficient number, since it is larger than the sum of its proper divisors (55848398403).

100582962278401 is an equidigital number, since it uses as much as digits as its factorization.

100582962278401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55848398402.

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 100582962278401 in words is "one hundred trillion, five hundred eighty-two billion, nine hundred sixty-two million, two hundred seventy-eight thousand, four hundred one".